Engineering Board Exam Reviewer · Matrix Inverse and Cofactors · medium

Find the inverse of A= bmatrix2&1\5&3 bmatrix.

  1. bmatrix3&-1\-5&2 bmatrix
  2. bmatrix3&1\5&2 bmatrix
  3. bmatrix2&-1\-5&3 bmatrix
  4. bmatrix-3&1\5&-2 bmatrix

Answer

A. bmatrix3&-1\-5&2 bmatrix

Solution

(A)=2(3)-1(5)=1. A-1=1/1 bmatrix3&-1\-5&2 bmatrix= bmatrix3&-1\-5&2 bmatrix.

More Matrix Inverse and Cofactors questions

  1. Find the inverse of A= bmatrix4&7\2&6 bmatrix.
  2. Find the cofactor C12 of the matrix bmatrix1&2&3\4&5&6\7&8&10 bmatrix.
  3. For the matrix A= bmatrix3&2\1&4 bmatrix, find the cofactor matrix.
  4. For A= bmatrix2&1\5&3 bmatrix (with (A)=1), what should A· A-1 equal?
  5. A 2×2 matrix has determinant 0. Does it have an inverse?

All Matrix Inverse and Cofactors questions